借助GeoGebra软件对2022年高考数学乙卷(理) 22题的解法探究

With the Help of GeoGebra Software, I Will Explore the Solution of 22 Questions in the Mathematics Paper B of 2022 College Entrance Examination

摘要: 以2022年全国高考乙卷数学(理)压轴导数试题为载体，借助于GeoGebra软件强大作图和动态演示功能，学生通过对图象的动态观察发现不同函数的自身性质以及他们之间微妙联系，通过GeoGebra动态演示，使学生更加直观认识超越函数以及动态变化中分析探索函数切线的作用，通过数形结合方法对题目进行更加深度分析探究，引发学生的思考，促使学生形成解题思路，进而找到不同解决方法。

Abstract: Based on the final derivative test of mathematics (science) in the second paper of the National Col-lege Entrance Examination in 2022, with the help of the powerful mapping and dynamic demonstration function of GeoGebra software, students can discover the properties of different functions and the subtle relationships between them through dynamic observation of images. Through GeoGebra dynamic demonstration, students will have a more intuitive understanding of transcendental functions and the function of tangents of analysis and exploration functions in dynamic changes. Through the combination of number and form method, the problems are analyzed and explored in a more in-depth way, which triggers students’ thinking and encourages them to form problem-solving ideas and then find different solutions.